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math.GT2026
fkcompute: an efficient invariant calculator
Paul Orland, Davide Passaro, Lara San Martín Suárez +2
We introduce fkcompute, an open-source package for computing the Gukov--Manolescu invariant of links from a braid presentation. fkcompute implements Park's inverted state sum throu…
math.GT2025
Quantum Invariants and Fiberedness
Paul Orland, Lara San Martín Suárez, Toby Saunders-A'Court +1
We explore the topological significance of the Gukov-Manolescu knot series . We show that the leading coefficient of is a monomial and express its exponent in terms of t…